Journal of Electrical & Electronic Systems

Wahid Souhail

Publications

• Review Article
  From 2D to 3D Bifurcation Structures in Field Oriented Control of a PMSM
  Author(s): Wahid Souhail, Hedi Khamari and Mohamed Faouzi MimouniWahid Souhail, Hedi Khamari and Mohamed Faouzi Mimouni
  
  This paper presents new aspects of bifurcation structures in a Permanent Magnet Synchronous Machine (PMSM) in both motor and generator operating modes.It considers the case where the PMSM speed is regulated with a Field-oriented control (FOC). A period doubling bifurcation cascade under the variation of a proportional control parameter leading to chaotic states, was identified.The investigation of parametric singularities allows us to identify a complex bifurcation structure including three generic bifurcations. Such structure is made of the Limit Point (LP), the Hopf (H) and the Bogdanov-Takens (BT) bifurcation sets. Sufficient conditions of the existence of the main bifurcations are given analytically.An overview of the phase space singularities associated to the parametric singularities is presented. Moreover, embedding 2D bifurcation sets in a 3D parametric space.. Read More»
  DOI: 10.4172/2332-0796.1000196

  Abstract PDF